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Finding the Fourth Proportional to 6,817.56, 9,405.54 and 4,580.88

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Solution

The fourth proportional to 6,817.56, 9,405.54 and 4,580.88 is: 6,319.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,817.56 : 9,405.54 = 4,580.88 : x
  2. Step 2: Convert to fraction form
    6,817.56/9,405.54 = 4,580.88/x
  3. Step 3: Cross multiply
    6,817.56x = 9,405.54 × 4,580.88
  4. Step 4: Simplify right side
    6,817.56x = 43,085,650.08
  5. Step 5: Solve for x
    x = 43,085,650.08/6,817.56
  6. Step 6: Final answer
    x = 6,319.81

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.